# How do you graph the line x-2y=4 by using intercepts?

Mar 25, 2016

The x-intercept is $\left(4 , 0\right)$
The y-intercept is $\left(0 , - 2\right)$ graph{x-2y=4 [-10, 10, -5, 5]}

#### Explanation:

The x-intercept always has a y value of $0$. So simply substitute $0$ in place if $y$ in your equation and you can calculate the x-intercept.

$x - 2 y = 4$ substitute $0$ for $y$
$x - 2 \left(0\right) = 4$
$x = 4$. The x-intercept is $\left(4 , 0\right)$

Similarly, the y-intercept always has an x value of $0$. This time, substitute $0$ in for $x$ in your equation.

$x - 2 y = 4$

$0 - 2 y = 4$

$- 2 y = 4$

$y = - 2$. So the y-intercept is $\left(0 , - 2\right)$